4 papers
Sharp Makai-type inequalities for the best Poincaré-Sobolev constants
Giovanni Pisante, Francesca Prinari
Given a bounded convex open set , we prove that the Poincaré-Sobolev constants can be bounded from below by the -power of the ratio between…
Ahlfors-regularity for minimizers of a multiphase optimal design problem
Luca Esposito, Lorenzo Lamberti, Giovanni Pisante
We establish an Alhfors-regularity result for minimizers of a multiphase optimal design problem. It is a variant of the classical variational problem which involves a finite number…
Corrigendum to "Spectral optimization for weighted anisotropic problems with Robin conditions" [J. Differ. Equ. 378, 303--338, 2024]
B. Pellacci, G. Pisante, D. Schiera
The goal of this note is to fill a gap in the proof of the first two items of Theorem 5.1 in [4], which relies on Polya type inequalities and the characterization of the equality c…
Regularity results for almost-minimizers of anisotropic free interface problem with Hölder dependence on the position
Luca Esposito, Lorenzo Lamberti, Giovanni Pisante
We establish regularity results for almost-minimizers of a class of variational problems involving both bulk and interface energies. The bulk energy is of Dirichlet type. The surfa…